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Gradient compression with error compensation has attracted significant attention with the target of reducing the heavy communication overhead in distributed learning. However, existing compression methods either perform only unidirectional…

Machine Learning · Computer Science 2024-02-20 Yifei Cheng , Li Shen , Linli Xu , Xun Qian , Shiwei Wu , Yiming Zhou , Tie Zhang , Dacheng Tao , Enhong Chen

In the framework of density-functional theory, several popular density functionals for exchange and correlation have been constructed to satisfy a local form of the Lieb-Oxford bound. In its original global expression, the bound represents…

Other Condensed Matter · Physics 2012-05-31 J. G. Vilhena , E. Rasanen , L. Lehtovaara , M. A. L. Marques

We study a one-dimensional system of spinless electrons in the presence of a long-range Coulomb interaction (LRCI) and a random chemical potential at each site. We first present a Tomonaga-Luttinger liquid (TLL) description of the system.…

Strongly Correlated Electrons · Physics 2009-11-10 Amit Dutta , Lars Fritz , Diptiman Sen

[Background] Single-reference density functional theory is very successful in reproducing bulk nuclear properties like binding energies, radii, or quadrupole moments throughout the entire periodic table. Its extension to the multi-reference…

Nuclear Theory · Physics 2017-01-30 W. Satula , P. Baczyk , J. Dobaczewski , M. Konieczka

For the treatment of interacting electrons in crystal lattices approximations based on the picture of effective sites, coupled in a self-consistent fashion, have proven very useful. Particularly in the presence of strong local correlations,…

Strongly Correlated Electrons · Physics 2008-09-19 Norbert Grewe , Sebastian Schmitt , Torben Jabben , Frithjof B. Anders

We provide a formalism to calculate the cubic interaction vertices of the stable string bit model, in which string bits have $s$ spin degrees of freedom but no space to move. With the vertices, we obtain a formula for one-loop self-energy,…

High Energy Physics - Theory · Physics 2018-05-15 Gaoli Chen

Addressing both dynamic and static correlation accurately is a primary goal in electronic structure theory. Non-orthogonal configuration interaction (NOCI) is a versatile tool for treating static correlation, offering chemical insights by…

Chemical Physics · Physics 2025-06-27 Chong Sun , Fei Gao , Gustavo E. Scuseria

Nonlinear self-interference cancellation (SIC) is essential for full-duplex communication systems, which can offer twice the spectral efficiency of traditional half-duplex systems. The challenge of nonlinear SIC is similar to the classic…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Hyowon Lee , Jungyeon Kim , Geon Choi , Ian P. Roberts , Jinseok Choi , Namyoon Lee

Density functionals with a range-separated treatment of the exchange energy are known to improve upon their semilocal forerunners and fixed-fraction hybrids. The conversion of a given semilocal functional into its short-range analog is not…

Chemical Physics · Physics 2019-09-09 Dimitri N. Laikov

We analyse the local variance effect in the standard method for detecting the integrated Sachs-Wolfe effect (ISW) via cross-correlating the cosmic microwave background (CMB) with the large-scale structure (LSS). Local variance is defined as…

Astrophysics · Physics 2008-12-03 Mona Frommert , Torsten A. Ensslin , Francisco S. Kitaura

We derive analytical nuclear gradients for state-averaged orbital-optimized configuration interaction singles (SACIS) and its spin-projected extension (SAECIS), enabling efficient geometry optimization and minimum-energy conical…

Chemical Physics · Physics 2026-04-15 Takashi Tsuchimochi

In ab initio calculations of superconducting properties, the Coulomb repulsion is accounted for at the GW level and is usually computed in RPA, which amounts to neglecting vertex corrections both at the polarizability level and in the…

Superconductivity · Physics 2023-10-12 Camilla Pellegrini , Carl Kukkonen , Antonio Sanna

The topology of cosmic reionization, the sizes, shapes, and connectivity of ionized bubbles is a primary observable of next-generation 21\,cm experiments. We show that this topology is sensitive to the microphysics of dark matter.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-17 Zihan Wang

We introduce single and double particle-hole excitations in the recently revived spin-projected Hartree-Fock. Our motivation is to treat static correlation with spin-projection and recover the residual correlation, mostly dynamic in nature,…

Chemical Physics · Physics 2016-01-20 Takashi Tsuchimochi , Seiichiro Ten-no

We formulate a spin-polarized van Leeuwen and Baerends (vLB) correction to the local density approximation (LDA) exchange potential [Phys. Rev. A 49, 2421 (1994)] that enforces the ionization potential (IP) theorem following Stein et al.…

Materials Science · Physics 2016-03-09 Prashant Singh , Manoj K. Harbola , M. Hemanadhan , Abhijit Mookerjee , D. D. Johnson

We use the recently-developed Heat-bath Configuration Interaction (HCI) algorithm as an efficient active-space solver to perform multi-configuration self-consistent field calculations (HCISCF) with large active spaces. We give a detailed…

Chemical Physics · Physics 2018-11-08 James E. T. Smith , Adam A. Holmes , Bastien Mussard , Sandeep Sharma

We present a new high-performance configuration interaction code optimally designed for the calculation of the lowest energy eigenstates of a few electrons in semiconductor quantum dots (also called artificial atoms) in the strong…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Carlo Cavazzoni , Devis Bellucci , Guido Goldoni

Methods for correcting residual energy errors of configuration interaction (CI) calculations of molecules and other electronic systems are discussed based on the assumption that the energy defect can be mapped onto atomic regions. The…

Chemical Physics · Physics 2022-10-05 Jerry L. Whitten

We present an extension of the quasiparticle self-consistent $GW$ approximation (QS$GW$) [Phys. Rev. B, 76 165106 (2007)] to include vertex corrections in the screened Coulomb interaction $W$. This is achieved by solving the Bethe-Salpeter…

Materials Science · Physics 2023-10-11 Brian Cunningham , Myrta Grüning , Dimitar Pashov , Mark van Schilfgaarde

Single-atom catalysts (SACs) have attracted ever-growing interest due to their high atom-utilization efficiency and potential for cost-effective of hydrogen production. However, enhancing the hydrogen evolution reaction (HER) performance…

Materials Science · Physics 2025-03-11 Feng Sun , Xuqiang Zhang , Jiangtao Chen , Yun Zhao , Yan Li